Partial Derivatives: Functions and Definitions

Related lectures (19)

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Explores partial derivatives and functions in multivariable calculus, emphasizing their importance and practical applications.

Explores functions of class C^p, emphasizing continuity and differentiability properties.

Covers partial derivatives for functions of one and two variables, emphasizing their importance and calculation.

Covers the concept of partial derivatives and their applications in mathematical analysis.

Covers derivatives and continuity in multivariable functions, emphasizing the importance of partial derivatives.

Covers limits and derivatives in multivariable functions, focusing on continuity, partial derivatives, and the gradient.

Introduces gradient, Laplacian, Taylor formula, polynomial approximations, extrema, and Taylor series expansions in multiple variables.

Explores differentiability in functions and the role of gradients in directional derivatives.

Covers differentiability of functions in two variables and the conditions for a function to be differentiable.

Covers the differentiability of functions of multiple variables and the significance of directional derivatives and gradients.